Metamath Proof Explorer

Theorem bj-2alim

Description: Closed form of 2alimi . (Contributed by BJ, 6-May-2019)

Ref Expression
Assertion bj-2alim 
|- ( A. x A. y ( ph -> ps ) -> ( A. x A. y ph -> A. x A. y ps ) )

Proof

Step Hyp Ref Expression
1 alim 
 |-  ( A. y ( ph -> ps ) -> ( A. y ph -> A. y ps ) )
2 1 al2imi 
 |-  ( A. x A. y ( ph -> ps ) -> ( A. x A. y ph -> A. x A. y ps ) )